# +------------------------------+ #>----------| SUPPLEMENTAL INFORMATION |----------< # +------------------------------+ # # Supplemental information for all graphs and derived numbers in "One Dimensional Mimicking of Electronic Structure: The Case for Exponentials" by T.E.~Baker, et. al. (2015) # # #soft-Coulomb density width (entries with zero density removed) #soft-Coulomb density Delta=.5 #x,n 28. 0. 28.5 1.e-10 29. 3.e-10 29.5 1.e-9 30. 2.8e-9 30.5 8.2e-9 31. 2.36e-8 31.5 6.77e-8 32. 1.936e-7 32.5 5.504e-7 33. 1.5549e-6 33.5 4.362e-6 34. 0.000012139 34.5 0.000033469 35. 0.000091286 35.5 0.0002458212 36. 0.0006519232 36.5 0.0016970381 37. 0.0043166452 37.5 0.0106615093 38. 0.025335103 38.5 0.0571214883 39. 0.1194955983 39.5 0.2233672483 40. 0.3495556467 40.5 0.4148166392 41. 0.3495556467 41.5 0.2233672483 42. 0.1194955983 42.5 0.0571214883 43. 0.025335103 43.5 0.0106615093 44. 0.0043166452 44.5 0.0016970381 45. 0.0006519232 45.5 0.0002458212 46. 0.000091286 46.5 0.000033469 47. 0.000012139 47.5 4.362e-6 48. 1.5549e-6 48.5 5.504e-7 49. 1.936e-7 49.5 6.77e-8 50. 2.36e-8 50.5 8.2e-9 51. 2.8e-9 51.5 1.e-9 52. 3.e-10 52.5 1.e-10 53. 0. #soft-Coulomb density Delta=.2 #x,n 27.8 0. 28. 1.e-10 28.2 1.e-10 28.4 2.e-10 28.6 2.e-10 28.8 4.e-10 29. 6.e-10 29.2 9.e-10 29.4 1.4e-9 29.6 2.1e-9 29.8 3.3e-9 30. 5.e-9 30.2 7.7e-9 30.4 1.18e-8 30.6 1.81e-8 30.8 2.78e-8 31. 4.25e-8 31.2 6.5e-8 31.4 9.93e-8 31.6 1.516e-7 31.8 2.313e-7 32. 3.524e-7 32.2 5.365e-7 32.4 8.16e-7 32.6 1.2396e-6 32.8 1.8811e-6 33. 2.851e-6 33.2 4.3156e-6 33.4 6.5237e-6 33.6 9.8478e-6 33.8 0.0000148433 34. 0.0000223374 34.2 0.0000335582 34.4 0.000050325 34.6 0.0000753242 34.8 0.0001125106 35. 0.0001676862 35.2 0.0002493304 35.4 0.0003697846 35.6 0.0005469279 35.8 0.0008065302 36. 0.0011855215 36.2 0.0017364847 36.4 0.002533742 36.6 0.0036814639 36.8 0.0053242429 37. 0.0076605061 37.2 0.0109589027 37.4 0.015577263 37.6 0.0219827016 37.8 0.0307696365 38. 0.0426695932 38.2 0.0585422916 38.4 0.0793315237 38.6 0.1059622221 38.8 0.1391490652 39. 0.1790876276 39.2 0.2250184362 39.4 0.2747129183 39.6 0.3240523014 39.8 0.367051312 40. 0.3967950503 40.2 0.4074780043 40.4 0.3967950503 40.6 0.367051312 40.8 0.3240523014 41. 0.2747129183 41.2 0.2250184362 41.4 0.1790876276 41.6 0.1391490652 41.8 0.1059622221 42. 0.0793315237 42.2 0.0585422916 42.4 0.0426695932 42.6 0.0307696365 42.8 0.0219827016 43. 0.015577263 43.2 0.0109589027 43.4 0.0076605061 43.6 0.0053242429 43.8 0.0036814639 44. 0.002533742 44.2 0.0017364847 44.4 0.0011855215 44.6 0.0008065302 44.8 0.0005469279 45. 0.0003697846 45.2 0.0002493304 45.4 0.0001676862 45.6 0.0001125106 45.8 0.0000753242 46. 0.000050325 46.2 0.0000335582 46.4 0.0000223374 46.6 0.0000148433 46.8 9.8478e-6 47. 6.5237e-6 47.2 4.3156e-6 47.4 2.851e-6 47.6 1.8811e-6 47.8 1.2396e-6 48. 8.16e-7 48.2 5.365e-7 48.4 3.524e-7 48.6 2.313e-7 48.8 1.516e-7 49. 9.93e-8 49.2 6.5e-8 49.4 4.25e-8 49.6 2.78e-8 49.8 1.81e-8 50. 1.18e-8 50.2 7.7e-9 50.4 5.e-9 50.6 3.3e-9 50.8 2.1e-9 51. 1.4e-9 51.2 9.e-10 51.4 6.e-10 51.6 4.e-10 51.8 2.e-10 52. 2.e-10 52.2 1.e-10 52.4 1.e-10 52.6 0. #soft-Coulomb density Delta=.1 #x,n 27.7 0. 27.8 1.e-10 27.9 1.e-10 28. 1.e-10 28.1 1.e-10 28.2 1.e-10 28.3 2.e-10 28.4 2.e-10 28.5 2.e-10 28.6 3.e-10 28.7 4.e-10 28.8 5.e-10 28.9 6.e-10 29. 7.e-10 29.1 9.e-10 29.2 1.1e-9 29.3 1.4e-9 29.4 1.7e-9 29.5 2.1e-9 29.6 2.6e-9 29.7 3.2e-9 29.8 4.e-9 29.9 5.e-9 30. 6.2e-9 30.1 7.6e-9 30.2 9.5e-9 30.3 1.17e-8 30.4 1.45e-8 30.5 1.8e-8 30.6 2.23e-8 30.7 2.76e-8 30.8 3.41e-8 30.9 4.22e-8 31. 5.22e-8 31.1 6.46e-8 31.2 7.99e-8 31.3 9.87e-8 31.4 1.221e-7 31.5 1.508e-7 31.6 1.863e-7 31.7 2.302e-7 31.8 2.842e-7 31.9 3.509e-7 32. 4.331e-7 32.1 5.345e-7 32.2 6.594e-7 32.3 8.132e-7 32.4 1.0027e-6 32.5 1.2359e-6 32.6 1.5231e-6 32.7 1.8763e-6 32.8 2.3108e-6 32.9 2.845e-6 33. 3.5015e-6 33.1 4.3082e-6 33.2 5.299e-6 33.3 6.5153e-6 33.4 8.008e-6 33.5 9.8391e-6 33.6 0.0000120843 33.7 0.000014836 33.8 0.0000182071 33.9 0.000022335 34. 0.000027387 34.1 0.0000335671 34.2 0.0000411232 34.3 0.0000503566 34.4 0.0000616335 34.5 0.000075398 34.6 0.000092189 34.7 0.0001126591 34.8 0.0001375983 34.9 0.0001679621 35. 0.0002049045 35.1 0.0002498182 35.2 0.000304382 35.3 0.0003706172 35.4 0.0004509541 35.5 0.0005483115 35.6 0.0006661895 35.7 0.0008087796 35.8 0.000981093 35.9 0.0011891111 36. 0.0014399609 36.1 0.0017421181 36.2 0.0021056425 36.3 0.0025424473 36.4 0.0030666089 36.5 0.003694717 36.6 0.004446271 36.7 0.0053441223 36.8 0.0064149653 36.9 0.0076898739 37. 0.0092048815 37.1 0.0110015944 37.2 0.0131278283 37.3 0.015638246 37.4 0.018594969 37.5 0.0220681236 37.6 0.0261362673 37.7 0.0308866266 37.8 0.0364150546 37.9 0.0428255949 38. 0.0502295105 38.1 0.0587436074 38.2 0.0684876529 38.3 0.0795806603 38.4 0.0921357919 38.5 0.1062536252 38.6 0.1220135468 38.7 0.1394630977 38.8 0.1586052132 38.9 0.1793835101 39. 0.2016660929 39.1 0.2252288238 39.2 0.2497396276 39.3 0.2747461869 39.4 0.2996702292 39.5 0.3238123412 39.6 0.346371508 39.7 0.3664828647 39.8 0.3832748887 39.9 0.3959431466 40. 0.4038321833 40.1 0.4065118729 40.2 0.4038321833 40.3 0.3959431466 40.4 0.3832748887 40.5 0.3664828647 40.6 0.346371508 40.7 0.3238123412 40.8 0.2996702292 40.9 0.2747461869 41. 0.2497396276 41.1 0.2252288238 41.2 0.2016660929 41.3 0.1793835101 41.4 0.1586052132 41.5 0.1394630977 41.6 0.1220135468 41.7 0.1062536252 41.8 0.0921357919 41.9 0.0795806603 42. 0.0684876529 42.1 0.0587436074 42.2 0.0502295105 42.3 0.0428255949 42.4 0.0364150546 42.5 0.0308866266 42.6 0.0261362673 42.7 0.0220681236 42.8 0.018594969 42.9 0.015638246 43. 0.0131278283 43.1 0.0110015944 43.2 0.0092048815 43.3 0.0076898739 43.4 0.0064149653 43.5 0.0053441223 43.6 0.004446271 43.7 0.003694717 43.8 0.0030666089 43.9 0.0025424473 44. 0.0021056425 44.1 0.0017421181 44.2 0.0014399609 44.3 0.0011891111 44.4 0.000981093 44.5 0.0008087796 44.6 0.0006661895 44.7 0.0005483115 44.8 0.0004509541 44.9 0.0003706172 45. 0.000304382 45.1 0.0002498182 45.2 0.0002049045 45.3 0.0001679621 45.4 0.0001375983 45.5 0.0001126591 45.6 0.000092189 45.7 0.000075398 45.8 0.0000616335 45.9 0.0000503566 46. 0.0000411232 46.1 0.0000335671 46.2 0.000027387 46.3 0.000022335 46.4 0.0000182071 46.5 0.000014836 46.6 0.0000120843 46.7 9.8391e-6 46.8 8.008e-6 46.9 6.5153e-6 47. 5.299e-6 47.1 4.3082e-6 47.2 3.5015e-6 47.3 2.845e-6 47.4 2.3108e-6 47.5 1.8763e-6 47.6 1.5231e-6 47.7 1.2359e-6 47.8 1.0027e-6 47.9 8.132e-7 48. 6.594e-7 48.1 5.345e-7 48.2 4.331e-7 48.3 3.509e-7 48.4 2.842e-7 48.5 2.302e-7 48.6 1.863e-7 48.7 1.508e-7 48.8 1.221e-7 48.9 9.87e-8 49. 7.99e-8 49.1 6.46e-8 49.2 5.22e-8 49.3 4.22e-8 49.4 3.41e-8 49.5 2.76e-8 49.6 2.23e-8 49.7 1.8e-8 49.8 1.45e-8 49.9 1.17e-8 50. 9.5e-9 50.1 7.6e-9 50.2 6.2e-9 50.3 5.e-9 50.4 4.e-9 50.5 3.2e-9 50.6 2.6e-9 50.7 2.1e-9 50.8 1.7e-9 50.9 1.4e-9 51. 1.1e-9 51.1 9.e-10 51.2 7.e-10 51.3 6.e-10 51.4 5.e-10 51.5 4.e-10 51.6 3.e-10 51.7 2.e-10 51.8 2.e-10 51.9 2.e-10 52. 1.e-10 52.1 1.e-10 52.2 1.e-10 52.3 1.e-10 52.4 1.e-10 52.5 0. #soft-Coulomb density Delta=.05 (also used in Fig. 1) #x,n 27.7 0. 27.75 1.e-10 27.8 1.e-10 27.85 1.e-10 27.9 1.e-10 27.95 1.e-10 28. 1.e-10 28.05 1.e-10 28.1 1.e-10 28.15 1.e-10 28.2 1.e-10 28.25 2.e-10 28.3 2.e-10 28.35 2.e-10 28.4 2.e-10 28.45 2.e-10 28.5 3.e-10 28.55 3.e-10 28.6 3.e-10 28.65 4.e-10 28.7 4.e-10 28.75 5.e-10 28.8 5.e-10 28.85 6.e-10 28.9 6.e-10 28.95 7.e-10 29. 8.e-10 29.05 9.e-10 29.1 1.e-9 29.15 1.1e-9 29.2 1.2e-9 29.25 1.4e-9 29.3 1.5e-9 29.35 1.7e-9 29.4 1.9e-9 29.45 2.1e-9 29.5 2.3e-9 29.55 2.6e-9 29.6 2.9e-9 29.65 3.2e-9 29.7 3.6e-9 29.75 4.e-9 29.8 4.5e-9 29.85 5.e-9 29.9 5.5e-9 29.95 6.2e-9 30. 6.9e-9 30.05 7.6e-9 30.1 8.5e-9 30.15 9.5e-9 30.2 1.05e-8 30.25 1.17e-8 30.3 1.3e-8 30.35 1.45e-8 30.4 1.61e-8 30.45 1.8e-8 30.5 2.e-8 30.55 2.22e-8 30.6 2.47e-8 30.65 2.75e-8 30.7 3.06e-8 30.75 3.41e-8 30.8 3.79e-8 30.85 4.21e-8 30.9 4.69e-8 30.95 5.21e-8 31. 5.8e-8 31.05 6.45e-8 31.1 7.17e-8 31.15 7.98e-8 31.2 8.87e-8 31.25 9.86e-8 31.3 1.096e-7 31.35 1.219e-7 31.4 1.355e-7 31.45 1.506e-7 31.5 1.674e-7 31.55 1.861e-7 31.6 2.068e-7 31.65 2.299e-7 31.7 2.555e-7 31.75 2.839e-7 31.8 3.155e-7 31.85 3.505e-7 31.9 3.895e-7 31.95 4.327e-7 32. 4.807e-7 32.05 5.34e-7 32.1 5.931e-7 32.15 6.588e-7 32.2 7.316e-7 32.25 8.125e-7 32.3 9.023e-7 32.35 1.0019e-6 32.4 1.1124e-6 32.45 1.235e-6 32.5 1.3711e-6 32.55 1.522e-6 32.6 1.6894e-6 32.65 1.8751e-6 32.7 2.081e-6 32.75 2.3094e-6 32.8 2.5627e-6 32.85 2.8434e-6 32.9 3.1547e-6 32.95 3.4999e-6 33. 3.8824e-6 33.05 4.3064e-6 33.1 4.7763e-6 33.15 5.297e-6 33.2 5.8739e-6 33.25 6.5132e-6 33.3 7.2214e-6 33.35 8.0058e-6 33.4 8.8746e-6 33.45 9.8368e-6 33.5 0.0000109024 33.55 0.0000120821 33.6 0.0000133883 33.65 0.0000148341 33.7 0.0000164345 33.75 0.0000182057 33.8 0.0000201656 33.85 0.0000223343 33.9 0.0000247335 33.95 0.0000273875 34. 0.0000303229 34.05 0.0000335692 34.1 0.0000371589 34.15 0.0000411277 34.2 0.000045515 34.25 0.0000503644 34.3 0.0000557237 34.35 0.0000616457 34.4 0.0000681886 34.45 0.0000754163 34.5 0.0000833993 34.55 0.0000922153 34.6 0.0001019495 34.65 0.0001126959 34.7 0.0001245579 34.75 0.000137649 34.8 0.0001520942 34.85 0.0001680307 34.9 0.0001856095 34.95 0.0002049963 35. 0.0002263731 35.05 0.0002499397 35.1 0.0002759157 35.15 0.0003045415 35.2 0.0003360814 35.25 0.0003708249 35.3 0.0004090894 35.35 0.0004512228 35.4 0.0004976062 35.45 0.0005486569 35.5 0.000604832 35.55 0.0006666313 35.6 0.0007346018 35.65 0.0008093417 35.7 0.0008915046 35.75 0.0009818048 35.8 0.0010810222 35.85 0.0011900085 35.9 0.0013096926 35.95 0.0014410876 36. 0.0015852981 36.05 0.0017435271 36.1 0.001917085 36.15 0.0021073976 36.2 0.0023160157 36.25 0.0025446253 36.3 0.0027950578 36.35 0.0030693015 36.4 0.0033695138 36.45 0.0036980335 36.5 0.0040573947 36.55 0.0044503407 36.6 0.0048798391 36.65 0.0053490976 36.7 0.0058615801 36.75 0.0064210244 36.8 0.0070314594 36.85 0.0076972241 36.9 0.0084229862 36.95 0.0092137619 37. 0.0100749352 37.05 0.0110122786 37.1 0.0120319727 37.15 0.0131406264 37.2 0.0143452963 37.25 0.0156535055 37.3 0.0170732618 37.35 0.0186130741 37.4 0.0202819669 37.45 0.0220894926 37.5 0.0240457413 37.55 0.0261613465 37.6 0.0284474864 37.65 0.0309158806 37.7 0.0335787802 37.75 0.0364489509 37.8 0.039539648 37.85 0.0428645816 37.9 0.0464378709 37.95 0.0502739859 38. 0.0543876754 38.05 0.0587938789 38.1 0.0635076207 38.15 0.0685438845 38.2 0.0739174667 38.25 0.0796428058 38.3 0.0857337863 38.35 0.0922035147 38.4 0.0990640667 38.45 0.1063262032 38.5 0.1139990533 38.55 0.1220897656 38.6 0.130603125 38.65 0.139541137 38.7 0.1489025813 38.75 0.1586825361 38.8 0.1688718791 38.85 0.17945677 38.9 0.1904181233 38.95 0.2017310824 39. 0.2133645077 39.05 0.2252804963 39.1 0.2374339526 39.15 0.2497722334 39.2 0.2622348943 39.25 0.274753568 39.3 0.2872520056 39.35 0.2996463161 39.4 0.3118454378 39.45 0.3237518713 39.5 0.3352627035 39.55 0.3462709376 39.6 0.3566671366 39.65 0.3663413678 39.7 0.3751854195 39.75 0.3830952341 39.8 0.3899734803 39.85 0.395732165 39.9 0.4002951637 39.95 0.4036005394 40. 0.4056025188 40.05 0.4062730033 40.1 0.4056025188 40.15 0.4036005394 40.2 0.4002951637 40.25 0.395732165 40.3 0.3899734803 40.35 0.3830952341 40.4 0.3751854195 40.45 0.3663413678 40.5 0.3566671366 40.55 0.3462709376 40.6 0.3352627035 40.65 0.3237518713 40.7 0.3118454378 40.75 0.2996463161 40.8 0.2872520056 40.85 0.274753568 40.9 0.2622348943 40.95 0.2497722334 41. 0.2374339526 41.05 0.2252804963 41.1 0.2133645077 41.15 0.2017310824 41.2 0.1904181233 41.25 0.17945677 41.3 0.1688718791 41.35 0.1586825361 41.4 0.1489025813 41.45 0.139541137 41.5 0.130603125 41.55 0.1220897656 41.6 0.1139990533 41.65 0.1063262032 41.7 0.0990640667 41.75 0.0922035147 41.8 0.0857337863 41.85 0.0796428058 41.9 0.0739174667 41.95 0.0685438845 42. 0.0635076207 42.05 0.058793879 42.1 0.0543876754 42.15 0.0502739859 42.2 0.0464378709 42.25 0.0428645816 42.3 0.039539648 42.35 0.0364489509 42.4 0.0335787802 42.45 0.0309158806 42.5 0.0284474865 42.55 0.0261613465 42.6 0.0240457413 42.65 0.0220894926 42.7 0.0202819669 42.75 0.0186130741 42.8 0.0170732618 42.85 0.0156535055 42.9 0.0143452963 42.95 0.0131406264 43. 0.0120319727 43.05 0.0110122786 43.1 0.0100749352 43.15 0.0092137619 43.2 0.0084229863 43.25 0.0076972241 43.3 0.0070314594 43.35 0.0064210244 43.4 0.0058615801 43.45 0.0053490976 43.5 0.0048798391 43.55 0.0044503407 43.6 0.0040573947 43.65 0.0036980335 43.7 0.0033695138 43.75 0.0030693015 43.8 0.0027950578 43.85 0.0025446253 43.9 0.0023160158 43.95 0.0021073976 44. 0.001917085 44.05 0.0017435272 44.1 0.0015852981 44.15 0.0014410876 44.2 0.0013096926 44.25 0.0011900085 44.3 0.0010810222 44.35 0.0009818048 44.4 0.0008915046 44.45 0.0008093417 44.5 0.0007346018 44.55 0.0006666313 44.6 0.000604832 44.65 0.0005486569 44.7 0.0004976062 44.75 0.0004512228 44.8 0.0004090894 44.85 0.0003708249 44.9 0.0003360814 44.95 0.0003045415 45. 0.0002759157 45.05 0.0002499397 45.1 0.0002263731 45.15 0.0002049963 45.2 0.0001856095 45.25 0.0001680307 45.3 0.0001520942 45.35 0.000137649 45.4 0.0001245579 45.45 0.0001126959 45.5 0.0001019495 45.55 0.0000922153 45.6 0.0000833993 45.65 0.0000754163 45.7 0.0000681886 45.75 0.0000616457 45.8 0.0000557237 45.85 0.0000503644 45.9 0.000045515 45.95 0.0000411277 46. 0.0000371589 46.05 0.0000335692 46.1 0.0000303229 46.15 0.0000273875 46.2 0.0000247335 46.25 0.0000223343 46.3 0.0000201656 46.35 0.0000182057 46.4 0.0000164345 46.45 0.0000148341 46.5 0.0000133883 46.55 0.0000120821 46.6 0.0000109024 46.65 9.8368e-6 46.7 8.8746e-6 46.75 8.0058e-6 46.8 7.2214e-6 46.85 6.5132e-6 46.9 5.8739e-6 46.95 5.297e-6 47. 4.7763e-6 47.05 4.3064e-6 47.1 3.8824e-6 47.15 3.4999e-6 47.2 3.1547e-6 47.25 2.8434e-6 47.3 2.5627e-6 47.35 2.3094e-6 47.4 2.081e-6 47.45 1.8751e-6 47.5 1.6894e-6 47.55 1.522e-6 47.6 1.3711e-6 47.65 1.235e-6 47.7 1.1124e-6 47.75 1.0019e-6 47.8 9.023e-7 47.85 8.125e-7 47.9 7.316e-7 47.95 6.588e-7 48. 5.931e-7 48.05 5.34e-7 48.1 4.807e-7 48.15 4.327e-7 48.2 3.895e-7 48.25 3.505e-7 48.3 3.155e-7 48.35 2.839e-7 48.4 2.555e-7 48.45 2.299e-7 48.5 2.068e-7 48.55 1.861e-7 48.6 1.674e-7 48.65 1.506e-7 48.7 1.355e-7 48.75 1.219e-7 48.8 1.096e-7 48.85 9.86e-8 48.9 8.87e-8 48.95 7.98e-8 49. 7.17e-8 49.05 6.45e-8 49.1 5.8e-8 49.15 5.21e-8 49.2 4.69e-8 49.25 4.21e-8 49.3 3.79e-8 49.35 3.41e-8 49.4 3.06e-8 49.45 2.75e-8 49.5 2.47e-8 49.55 2.22e-8 49.6 2.e-8 49.65 1.8e-8 49.7 1.61e-8 49.75 1.45e-8 49.8 1.3e-8 49.85 1.17e-8 49.9 1.05e-8 49.95 9.5e-9 50. 8.5e-9 50.05 7.6e-9 50.1 6.9e-9 50.15 6.2e-9 50.2 5.5e-9 50.25 5.e-9 50.3 4.5e-9 50.35 4.e-9 50.4 3.6e-9 50.45 3.2e-9 50.5 2.9e-9 50.55 2.6e-9 50.6 2.3e-9 50.65 2.1e-9 50.7 1.9e-9 50.75 1.7e-9 50.8 1.5e-9 50.85 1.4e-9 50.9 1.2e-9 50.95 1.1e-9 51. 1.e-9 51.05 9.e-10 51.1 8.e-10 51.15 7.e-10 51.2 6.e-10 51.25 6.e-10 51.3 5.e-10 51.35 5.e-10 51.4 4.e-10 51.45 4.e-10 51.5 3.e-10 51.55 3.e-10 51.6 3.e-10 51.65 2.e-10 51.7 2.e-10 51.75 2.e-10 51.8 2.e-10 51.85 2.e-10 51.9 1.e-10 51.95 1.e-10 52. 1.e-10 52.05 1.e-10 52.1 1.e-10 52.15 1.e-10 52.2 1.e-10 52.25 1.e-10 52.3 1.e-10 52.35 1.e-10 52.4 0. #soft-Coulomb density Delta=.025 #x,n 27.675 0. 27.7 1.e-10 27.725 1.e-10 27.75 1.e-10 27.775 1.e-10 27.8 1.e-10 27.825 1.e-10 27.85 1.e-10 27.875 1.e-10 27.9 1.e-10 27.925 1.e-10 27.95 1.e-10 27.975 1.e-10 28. 1.e-10 28.025 1.e-10 28.05 1.e-10 28.075 1.e-10 28.1 1.e-10 28.125 1.e-10 28.15 1.e-10 28.175 1.e-10 28.2 1.e-10 28.225 2.e-10 28.25 2.e-10 28.275 2.e-10 28.3 2.e-10 28.325 2.e-10 28.35 2.e-10 28.375 2.e-10 28.4 2.e-10 28.425 2.e-10 28.45 3.e-10 28.475 3.e-10 28.5 3.e-10 28.525 3.e-10 28.55 3.e-10 28.575 3.e-10 28.6 4.e-10 28.625 4.e-10 28.65 4.e-10 28.675 4.e-10 28.7 4.e-10 28.725 5.e-10 28.75 5.e-10 28.775 5.e-10 28.8 5.e-10 28.825 6.e-10 28.85 6.e-10 28.875 6.e-10 28.9 7.e-10 28.925 7.e-10 28.95 8.e-10 28.975 8.e-10 29. 8.e-10 29.025 9.e-10 29.05 9.e-10 29.075 1.e-9 29.1 1.e-9 29.125 1.1e-9 29.15 1.2e-9 29.175 1.2e-9 29.2 1.3e-9 29.225 1.4e-9 29.25 1.4e-9 29.275 1.5e-9 29.3 1.6e-9 29.325 1.7e-9 29.35 1.8e-9 29.375 1.9e-9 29.4 2.e-9 29.425 2.1e-9 29.45 2.2e-9 29.475 2.3e-9 29.5 2.5e-9 29.525 2.6e-9 29.55 2.7e-9 29.575 2.9e-9 29.6 3.1e-9 29.625 3.2e-9 29.65 3.4e-9 29.675 3.6e-9 29.7 3.8e-9 29.725 4.e-9 29.75 4.2e-9 29.775 4.5e-9 29.8 4.7e-9 29.825 5.e-9 29.85 5.2e-9 29.875 5.5e-9 29.9 5.8e-9 29.925 6.2e-9 29.95 6.5e-9 29.975 6.8e-9 30. 7.2e-9 30.025 7.6e-9 30.05 8.e-9 30.075 8.5e-9 30.1 9.e-9 30.125 9.4e-9 30.15 1.e-8 30.175 1.05e-8 30.2 1.11e-8 30.225 1.17e-8 30.25 1.23e-8 30.275 1.3e-8 30.3 1.37e-8 30.325 1.45e-8 30.35 1.53e-8 30.375 1.61e-8 30.4 1.7e-8 30.425 1.79e-8 30.45 1.89e-8 30.475 2.e-8 30.5 2.11e-8 30.525 2.22e-8 30.55 2.34e-8 30.575 2.47e-8 30.6 2.61e-8 30.625 2.75e-8 30.65 2.9e-8 30.675 3.06e-8 30.7 3.23e-8 30.725 3.4e-8 30.75 3.59e-8 30.775 3.79e-8 30.8 3.99e-8 30.825 4.21e-8 30.85 4.44e-8 30.875 4.69e-8 30.9 4.94e-8 30.925 5.21e-8 30.95 5.5e-8 30.975 5.8e-8 31. 6.11e-8 31.025 6.45e-8 31.05 6.8e-8 31.075 7.17e-8 31.1 7.56e-8 31.125 7.97e-8 31.15 8.41e-8 31.175 8.86e-8 31.2 9.35e-8 31.225 9.86e-8 31.25 1.039e-7 31.275 1.096e-7 31.3 1.156e-7 31.325 1.218e-7 31.35 1.285e-7 31.375 1.355e-7 31.4 1.428e-7 31.425 1.506e-7 31.45 1.588e-7 31.475 1.674e-7 31.5 1.765e-7 31.525 1.86e-7 31.55 1.961e-7 31.575 2.068e-7 31.6 2.18e-7 31.625 2.298e-7 31.65 2.423e-7 31.675 2.554e-7 31.7 2.692e-7 31.725 2.838e-7 31.75 2.992e-7 31.775 3.154e-7 31.8 3.325e-7 31.825 3.504e-7 31.85 3.694e-7 31.875 3.894e-7 31.9 4.104e-7 31.925 4.326e-7 31.95 4.559e-7 31.975 4.806e-7 32. 5.065e-7 32.025 5.338e-7 32.05 5.626e-7 32.075 5.93e-7 32.1 6.249e-7 32.125 6.586e-7 32.15 6.941e-7 32.175 7.315e-7 32.2 7.708e-7 32.225 8.123e-7 32.25 8.56e-7 32.275 9.021e-7 32.3 9.506e-7 32.325 1.0017e-6 32.35 1.0555e-6 32.375 1.1122e-6 32.4 1.1719e-6 32.425 1.2348e-6 32.45 1.301e-6 32.475 1.3708e-6 32.5 1.4443e-6 32.525 1.5217e-6 32.55 1.6033e-6 32.575 1.6891e-6 32.6 1.7796e-6 32.625 1.8748e-6 32.65 1.9751e-6 32.675 2.0807e-6 32.7 2.1919e-6 32.725 2.3091e-6 32.75 2.4324e-6 32.775 2.5623e-6 32.8 2.6991e-6 32.825 2.8431e-6 32.85 2.9947e-6 32.875 3.1543e-6 32.9 3.3224e-6 32.925 3.4994e-6 32.95 3.6858e-6 32.975 3.8819e-6 33. 4.0885e-6 33.025 4.3059e-6 33.05 4.5348e-6 33.075 4.7758e-6 33.1 5.0294e-6 33.125 5.2965e-6 33.15 5.5776e-6 33.175 5.8734e-6 33.2 6.1849e-6 33.225 6.5127e-6 33.25 6.8577e-6 33.275 7.2208e-6 33.3 7.603e-6 33.325 8.0052e-6 33.35 8.4286e-6 33.375 8.8741e-6 33.4 9.3429e-6 33.425 9.8363e-6 33.45 0.0000103555 33.475 0.0000109018 33.5 0.0000114767 33.525 0.0000120816 33.55 0.0000127181 33.575 0.0000133877 33.6 0.0000140923 33.625 0.0000148336 33.65 0.0000156136 33.675 0.0000164341 33.7 0.0000172972 33.725 0.0000182053 33.75 0.0000191605 33.775 0.0000201653 33.8 0.0000212223 33.825 0.0000223341 33.85 0.0000235035 33.875 0.0000247334 33.9 0.000026027 33.925 0.0000273876 33.95 0.0000288184 33.975 0.0000303232 34. 0.0000319057 34.025 0.0000335697 34.05 0.0000353196 34.075 0.0000371597 34.1 0.0000390945 34.125 0.0000411288 34.15 0.0000432677 34.175 0.0000455165 34.2 0.0000478807 34.225 0.0000503663 34.25 0.0000529793 34.275 0.0000557261 34.3 0.0000586136 34.325 0.0000616487 34.35 0.000064839 34.375 0.0000681923 34.4 0.0000717167 34.425 0.0000754208 34.45 0.0000793137 34.475 0.0000834048 34.5 0.000087704 34.525 0.0000922218 34.55 0.0000969691 34.575 0.0001019573 34.6 0.0001071984 34.625 0.0001127051 34.65 0.0001184906 34.675 0.0001245687 34.7 0.0001309539 34.725 0.0001376616 34.75 0.0001447077 34.775 0.0001521089 34.8 0.0001598828 34.825 0.0001680478 34.85 0.0001766233 34.875 0.0001856293 34.9 0.0001950872 34.925 0.0002050192 34.95 0.0002154485 34.975 0.0002263995 35. 0.0002378978 35.025 0.0002499701 35.05 0.0002626445 35.075 0.0002759505 35.1 0.0002899187 35.125 0.0003045814 35.15 0.0003199724 35.175 0.000336127 35.2 0.0003530822 35.225 0.0003708768 35.25 0.0003895514 35.275 0.0004091485 35.3 0.0004297125 35.325 0.0004512899 35.35 0.0004739296 35.375 0.0004976824 35.4 0.0005226017 35.425 0.0005487433 35.45 0.0005761656 35.475 0.0006049297 35.5 0.0006350994 35.525 0.0006667417 35.55 0.0006999263 35.575 0.0007347264 35.6 0.0007712184 35.625 0.0008094822 35.65 0.0008496012 35.675 0.0008916628 35.7 0.0009357582 35.725 0.0009819827 35.75 0.001030436 35.775 0.0010812222 35.8 0.0011344499 35.825 0.0011902329 35.85 0.0012486896 35.875 0.0013099441 35.9 0.0013741256 35.925 0.0014413693 35.95 0.0015118161 35.975 0.0015856133 36. 0.0016629143 36.025 0.0017438794 36.05 0.001828676 36.075 0.0019174784 36.1 0.0020104687 36.125 0.0021078365 36.15 0.0022097798 36.175 0.0023165049 36.2 0.0024282269 36.225 0.0025451699 36.25 0.0026675677 36.275 0.0027956636 36.3 0.0029297113 36.325 0.0030699749 36.35 0.0032167294 36.375 0.0033702614 36.4 0.0035308691 36.425 0.0036988629 36.45 0.0038745658 36.475 0.0040583139 36.5 0.0042504569 36.525 0.0044513584 36.55 0.0046613967 36.575 0.0048809649 36.6 0.0051104717 36.625 0.0053503418 36.65 0.0056010164 36.675 0.0058629538 36.7 0.0061366302 36.725 0.0064225396 36.75 0.0067211952 36.775 0.0070331291 36.8 0.0073588939 36.825 0.0076990622 36.85 0.0080542283 36.875 0.0084250077 36.9 0.0088120388 36.925 0.0092159827 36.95 0.0096375242 36.975 0.0100773724 37. 0.0105362614 37.025 0.0110149505 37.05 0.0115142254 37.075 0.0120348986 37.1 0.0125778098 37.125 0.0131438268 37.15 0.013733846 37.175 0.0143487929 37.2 0.0149896228 37.225 0.0156573213 37.25 0.0163529047 37.275 0.0170774208 37.3 0.0178319491 37.325 0.0186176014 37.35 0.019435522 37.375 0.0202868885 37.4 0.0211729116 37.425 0.0220948357 37.45 0.0230539391 37.475 0.0240515339 37.5 0.0250889664 37.525 0.0261676171 37.55 0.0272889002 37.575 0.0284542641 37.6 0.0296651905 37.625 0.0309231946 37.65 0.0322298243 37.675 0.0335866598 37.7 0.0349953125 37.725 0.0364574249 37.75 0.0379746688 37.775 0.0395487445 37.8 0.0411813797 37.825 0.0428743274 37.85 0.0446293648 37.875 0.046448291 37.9 0.0483329248 37.925 0.0502851027 37.95 0.0523066761 37.975 0.0543995083 38. 0.0565654715 38.025 0.0588064432 38.05 0.0611243027 38.075 0.0635209267 38.1 0.0659981852 38.125 0.0685579365 38.15 0.0712020224 38.175 0.0739322621 38.2 0.0767504469 38.225 0.0796583335 38.25 0.0826576373 38.275 0.0857500253 38.3 0.0889371083 38.325 0.0922204329 38.35 0.0956014727 38.375 0.0990816193 38.4 0.1026621725 38.425 0.1063443305 38.45 0.110129179 38.475 0.1140176798 38.5 0.1180106597 38.525 0.1221087975 38.55 0.1263126122 38.575 0.1306224488 38.6 0.1350384651 38.625 0.1395606175 38.65 0.1441886462 38.675 0.1489220601 38.7 0.1537601215 38.725 0.1587018302 38.75 0.1637459073 38.775 0.1688907793 38.8 0.1741345614 38.825 0.1794750406 38.85 0.1849096599 38.875 0.1904355014 38.9 0.19604927 38.925 0.2017472781 38.95 0.2075254297 38.975 0.2133792056 39. 0.21930365 39.025 0.2252933571 39.05 0.2313424593 39.075 0.2374446166 39.1 0.2435930082 39.125 0.2497803248 39.15 0.2559987642 39.175 0.2622400277 39.2 0.268495321 39.225 0.2747553557 39.25 0.2810103561 39.275 0.2872500673 39.3 0.2934637687 39.325 0.2996402901 39.35 0.3057680327 39.375 0.3118349938 39.4 0.3178287968 39.425 0.3237367251 39.45 0.3295457616 39.475 0.3352426322 39.5 0.3408138555 39.525 0.3462457956 39.55 0.3515247219 39.575 0.3566368709 39.6 0.3615685149 39.625 0.3663060324 39.65 0.3708359834 39.675 0.3751451868 39.7 0.3792208004 39.725 0.3830504023 39.75 0.386622073 39.775 0.3899244767 39.8 0.3929469425 39.825 0.3956795422 39.85 0.3981131652 39.875 0.4002395895 39.9 0.4020515466 39.925 0.4035427804 39.95 0.4047080988 39.975 0.4055434171 40. 0.4060457923 40.025 0.4062134486 40.05 0.4060457923 40.075 0.4055434171 40.1 0.4047080989 40.125 0.4035427805 40.15 0.4020515467 40.175 0.4002395896 40.2 0.3981131653 40.225 0.3956795423 40.25 0.3929469427 40.275 0.3899244769 40.3 0.3866220732 40.325 0.3830504026 40.35 0.3792208006 40.375 0.3751451871 40.4 0.3708359837 40.425 0.3663060327 40.45 0.3615685152 40.475 0.3566368712 40.5 0.3515247222 40.525 0.346245796 40.55 0.3408138558 40.575 0.3352426326 40.6 0.329545762 40.625 0.3237367255 40.65 0.3178287972 40.675 0.3118349942 40.7 0.3057680331 40.725 0.2996402905 40.75 0.2934637691 40.775 0.2872500677 40.8 0.2810103565 40.825 0.2747553561 40.85 0.2684953214 40.875 0.2622400281 40.9 0.2559987646 40.925 0.2497803252 40.95 0.2435930085 40.975 0.237444617 41. 0.2313424596 41.025 0.2252933575 41.05 0.2193036504 41.075 0.2133792059 41.1 0.20752543 41.125 0.2017472784 41.15 0.1960492703 41.175 0.1904355016 41.2 0.1849096602 41.225 0.1794750409 41.25 0.1741345616 41.275 0.1688907796 41.3 0.1637459075 41.325 0.1587018303 41.35 0.1537601217 41.375 0.1489220603 41.4 0.1441886464 41.425 0.1395606177 41.45 0.1350384652 41.475 0.1306224489 41.5 0.1263126123 41.525 0.1221087976 41.55 0.1180106597 41.575 0.1140176799 41.6 0.110129179 41.625 0.1063443306 41.65 0.1026621725 41.675 0.0990816193 41.7 0.0956014727 41.725 0.0922204329 41.75 0.0889371083 41.775 0.0857500253 41.8 0.0826576372 41.825 0.0796583334 41.85 0.0767504468 41.875 0.073932262 41.9 0.0712020223 41.925 0.0685579364 41.95 0.0659981851 41.975 0.0635209266 42. 0.0611243026 42.025 0.0588064431 42.05 0.0565654714 42.075 0.0543995082 42.1 0.052306676 42.125 0.0502851026 42.15 0.0483329246 42.175 0.0464482908 42.2 0.0446293647 42.225 0.0428743273 42.25 0.0411813796 42.275 0.0395487444 42.3 0.0379746686 42.325 0.0364574248 42.35 0.0349953124 42.375 0.0335866596 42.4 0.0322298242 42.425 0.0309231945 42.45 0.0296651903 42.475 0.0284542639 42.5 0.0272889001 42.525 0.0261676169 42.55 0.0250889663 42.575 0.0240515338 42.6 0.0230539389 42.625 0.0220948356 42.65 0.0211729115 42.675 0.0202868884 42.7 0.0194355219 42.725 0.0186176012 42.75 0.017831949 42.775 0.0170774207 42.8 0.0163529046 42.825 0.0156573212 42.85 0.0149896227 42.875 0.0143487928 42.9 0.0137338459 42.925 0.0131438267 42.95 0.0125778097 42.975 0.0120348985 43. 0.0115142253 43.025 0.0110149504 43.05 0.0105362613 43.075 0.0100773723 43.1 0.0096375241 43.125 0.0092159826 43.15 0.0088120387 43.175 0.0084250076 43.2 0.0080542282 43.225 0.0076990622 43.25 0.0073588938 43.275 0.0070331291 43.3 0.0067211951 43.325 0.0064225396 43.35 0.0061366301 43.375 0.0058629538 43.4 0.0056010163 43.425 0.0053503417 43.45 0.0051104717 43.475 0.0048809649 43.5 0.0046613967 43.525 0.0044513584 43.55 0.0042504568 43.575 0.0040583138 43.6 0.0038745657 43.625 0.0036988629 43.65 0.0035308691 43.675 0.0033702614 43.7 0.0032167294 43.725 0.0030699749 43.75 0.0029297113 43.775 0.0027956636 43.8 0.0026675677 43.825 0.0025451699 43.85 0.0024282269 43.875 0.0023165049 43.9 0.0022097798 43.925 0.0021078365 43.95 0.0020104687 43.975 0.0019174784 44. 0.001828676 44.025 0.0017438795 44.05 0.0016629143 44.075 0.0015856133 44.1 0.0015118162 44.125 0.0014413693 44.15 0.0013741257 44.175 0.0013099441 44.2 0.0012486896 44.225 0.0011902329 44.25 0.0011344499 44.275 0.0010812222 44.3 0.001030436 44.325 0.0009819827 44.35 0.0009357582 44.375 0.0008916628 44.4 0.0008496012 44.425 0.0008094822 44.45 0.0007712184 44.475 0.0007347265 44.5 0.0006999264 44.525 0.0006667417 44.55 0.0006350995 44.575 0.0006049297 44.6 0.0005761656 44.625 0.0005487433 44.65 0.0005226017 44.675 0.0004976824 44.7 0.0004739296 44.725 0.00045129 44.75 0.0004297125 44.775 0.0004091485 44.8 0.0003895514 44.825 0.0003708768 44.85 0.0003530822 44.875 0.000336127 44.9 0.0003199724 44.925 0.0003045814 44.95 0.0002899187 44.975 0.0002759505 45. 0.0002626445 45.025 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6.1847e-6 46.85 6.0269e-6 46.8625 5.8732e-6 46.875 5.7234e-6 46.8875 5.5774e-6 46.9 5.435e-6 46.9125 5.2963e-6 46.925 5.1611e-6 46.9375 5.0293e-6 46.95 4.9008e-6 46.9625 4.7756e-6 46.975 4.6536e-6 46.9875 4.5346e-6 47. 4.4187e-6 47.0125 4.3057e-6 47.025 4.1956e-6 47.0375 4.0883e-6 47.05 3.9837e-6 47.0625 3.8818e-6 47.075 3.7824e-6 47.0875 3.6856e-6 47.1 3.5912e-6 47.1125 3.4993e-6 47.125 3.4096e-6 47.1375 3.3223e-6 47.15 3.2371e-6 47.1625 3.1542e-6 47.175 3.0733e-6 47.1875 2.9945e-6 47.2 2.9177e-6 47.2125 2.8429e-6 47.225 2.77e-6 47.2375 2.6989e-6 47.25 2.6296e-6 47.2625 2.5621e-6 47.275 2.4964e-6 47.2875 2.4323e-6 47.3 2.3698e-6 47.3125 2.3089e-6 47.325 2.2496e-6 47.3375 2.1918e-6 47.35 2.1355e-6 47.3625 2.0806e-6 47.375 2.0271e-6 47.3875 1.9749e-6 47.4 1.9241e-6 47.4125 1.8746e-6 47.425 1.8264e-6 47.4375 1.7794e-6 47.45 1.7336e-6 47.4625 1.689e-6 47.475 1.6455e-6 47.4875 1.6031e-6 47.5 1.5618e-6 47.5125 1.5216e-6 47.525 1.4824e-6 47.5375 1.4442e-6 47.55 1.407e-6 47.5625 1.3707e-6 47.575 1.3353e-6 47.5875 1.3009e-6 47.6 1.2674e-6 47.6125 1.2347e-6 47.625 1.2028e-6 47.6375 1.1718e-6 47.65 1.1415e-6 47.6625 1.1121e-6 47.675 1.0833e-6 47.6875 1.0554e-6 47.7 1.0281e-6 47.7125 1.0015e-6 47.725 9.757e-7 47.7375 9.505e-7 47.75 9.259e-7 47.7625 9.02e-7 47.775 8.786e-7 47.7875 8.559e-7 47.8 8.338e-7 47.8125 8.122e-7 47.825 7.912e-7 47.8375 7.707e-7 47.85 7.508e-7 47.8625 7.314e-7 47.875 7.124e-7 47.8875 6.94e-7 47.9 6.76e-7 47.9125 6.585e-7 47.925 6.414e-7 47.9375 6.248e-7 47.95 6.086e-7 47.9625 5.929e-7 47.975 5.775e-7 47.9875 5.625e-7 48. 5.479e-7 48.0125 5.337e-7 48.025 5.199e-7 48.0375 5.064e-7 48.05 4.933e-7 48.0625 4.805e-7 48.075 4.68e-7 48.0875 4.558e-7 48.1 4.44e-7 48.1125 4.325e-7 48.125 4.212e-7 48.1375 4.103e-7 48.15 3.996e-7 48.1625 3.893e-7 48.175 3.791e-7 48.1875 3.693e-7 48.2 3.597e-7 48.2125 3.503e-7 48.225 3.412e-7 48.2375 3.324e-7 48.25 3.237e-7 48.2625 3.153e-7 48.275 3.071e-7 48.2875 2.991e-7 48.3 2.913e-7 48.3125 2.837e-7 48.325 2.764e-7 48.3375 2.692e-7 48.35 2.622e-7 48.3625 2.553e-7 48.375 2.487e-7 48.3875 2.422e-7 48.4 2.359e-7 48.4125 2.297e-7 48.425 2.238e-7 48.4375 2.179e-7 48.45 2.122e-7 48.4625 2.067e-7 48.475 2.013e-7 48.4875 1.961e-7 48.5 1.909e-7 48.5125 1.86e-7 48.525 1.811e-7 48.5375 1.764e-7 48.55 1.718e-7 48.5625 1.673e-7 48.575 1.629e-7 48.5875 1.587e-7 48.6 1.545e-7 48.6125 1.505e-7 48.625 1.466e-7 48.6375 1.427e-7 48.65 1.39e-7 48.6625 1.354e-7 48.675 1.318e-7 48.6875 1.284e-7 48.7 1.25e-7 48.7125 1.218e-7 48.725 1.186e-7 48.7375 1.155e-7 48.75 1.125e-7 48.7625 1.095e-7 48.775 1.067e-7 48.7875 1.039e-7 48.8 1.011e-7 48.8125 9.85e-8 48.825 9.59e-8 48.8375 9.34e-8 48.85 9.1e-8 48.8625 8.86e-8 48.875 8.63e-8 48.8875 8.4e-8 48.9 8.18e-8 48.9125 7.97e-8 48.925 7.76e-8 48.9375 7.55e-8 48.95 7.35e-8 48.9625 7.16e-8 48.975 6.97e-8 48.9875 6.79e-8 49. 6.61e-8 49.0125 6.44e-8 49.025 6.27e-8 49.0375 6.11e-8 49.05 5.95e-8 49.0625 5.79e-8 49.075 5.64e-8 49.0875 5.49e-8 49.1 5.35e-8 49.1125 5.21e-8 49.125 5.07e-8 49.1375 4.94e-8 49.15 4.81e-8 49.1625 4.68e-8 49.175 4.56e-8 49.1875 4.44e-8 49.2 4.32e-8 49.2125 4.21e-8 49.225 4.1e-8 49.2375 3.99e-8 49.25 3.88e-8 49.2625 3.78e-8 49.275 3.68e-8 49.2875 3.58e-8 49.3 3.49e-8 49.3125 3.4e-8 49.325 3.31e-8 49.3375 3.22e-8 49.35 3.14e-8 49.3625 3.05e-8 49.375 2.97e-8 49.3875 2.89e-8 49.4 2.82e-8 49.4125 2.74e-8 49.425 2.67e-8 49.4375 2.6e-8 49.45 2.53e-8 49.4625 2.47e-8 49.475 2.4e-8 49.4875 2.34e-8 49.5 2.28e-8 49.5125 2.22e-8 49.525 2.16e-8 49.5375 2.1e-8 49.55 2.04e-8 49.5625 1.99e-8 49.575 1.94e-8 49.5875 1.89e-8 49.6 1.84e-8 49.6125 1.79e-8 49.625 1.74e-8 49.6375 1.69e-8 49.65 1.65e-8 49.6625 1.61e-8 49.675 1.56e-8 49.6875 1.52e-8 49.7 1.48e-8 49.7125 1.44e-8 49.725 1.4e-8 49.7375 1.37e-8 49.75 1.33e-8 49.7625 1.3e-8 49.775 1.26e-8 49.7875 1.23e-8 49.8 1.2e-8 49.8125 1.16e-8 49.825 1.13e-8 49.8375 1.1e-8 49.85 1.07e-8 49.8625 1.05e-8 49.875 1.02e-8 49.8875 9.9e-9 49.9 9.6e-9 49.9125 9.4e-9 49.925 9.1e-9 49.9375 8.9e-9 49.95 8.7e-9 49.9625 8.4e-9 49.975 8.2e-9 49.9875 8.e-9 50. 7.8e-9 50.0125 7.6e-9 50.025 7.4e-9 50.0375 7.2e-9 50.05 7.e-9 50.0625 6.8e-9 50.075 6.6e-9 50.0875 6.4e-9 50.1 6.3e-9 50.1125 6.1e-9 50.125 5.9e-9 50.1375 5.8e-9 50.15 5.6e-9 50.1625 5.5e-9 50.175 5.3e-9 50.1875 5.2e-9 50.2 5.e-9 50.2125 4.9e-9 50.225 4.8e-9 50.2375 4.6e-9 50.25 4.5e-9 50.2625 4.4e-9 50.275 4.3e-9 50.2875 4.2e-9 50.3 4.1e-9 50.3125 3.9e-9 50.325 3.8e-9 50.3375 3.7e-9 50.35 3.6e-9 50.3625 3.5e-9 50.375 3.4e-9 50.3875 3.3e-9 50.4 3.3e-9 50.4125 3.2e-9 50.425 3.1e-9 50.4375 3.e-9 50.45 2.9e-9 50.4625 2.8e-9 50.475 2.8e-9 50.4875 2.7e-9 50.5 2.6e-9 50.5125 2.5e-9 50.525 2.5e-9 50.5375 2.4e-9 50.55 2.3e-9 50.5625 2.3e-9 50.575 2.2e-9 50.5875 2.2e-9 50.6 2.1e-9 50.6125 2.e-9 50.625 2.e-9 50.6375 1.9e-9 50.65 1.9e-9 50.6625 1.8e-9 50.675 1.8e-9 50.6875 1.7e-9 50.7 1.7e-9 50.7125 1.6e-9 50.725 1.6e-9 50.7375 1.5e-9 50.75 1.5e-9 50.7625 1.5e-9 50.775 1.4e-9 50.7875 1.4e-9 50.8 1.3e-9 50.8125 1.3e-9 50.825 1.3e-9 50.8375 1.2e-9 50.85 1.2e-9 50.8625 1.2e-9 50.875 1.1e-9 50.8875 1.1e-9 50.9 1.1e-9 50.9125 1.e-9 50.925 1.e-9 50.9375 1.e-9 50.95 1.e-9 50.9625 9.e-10 50.975 9.e-10 50.9875 9.e-10 51. 8.e-10 51.0125 8.e-10 51.025 8.e-10 51.0375 8.e-10 51.05 8.e-10 51.0625 7.e-10 51.075 7.e-10 51.0875 7.e-10 51.1 7.e-10 51.1125 7.e-10 51.125 6.e-10 51.1375 6.e-10 51.15 6.e-10 51.1625 6.e-10 51.175 6.e-10 51.1875 5.e-10 51.2 5.e-10 51.2125 5.e-10 51.225 5.e-10 51.2375 5.e-10 51.25 5.e-10 51.2625 5.e-10 51.275 4.e-10 51.2875 4.e-10 51.3 4.e-10 51.3125 4.e-10 51.325 4.e-10 51.3375 4.e-10 51.35 4.e-10 51.3625 4.e-10 51.375 3.e-10 51.3875 3.e-10 51.4 3.e-10 51.4125 3.e-10 51.425 3.e-10 51.4375 3.e-10 51.45 3.e-10 51.4625 3.e-10 51.475 3.e-10 51.4875 3.e-10 51.5 3.e-10 51.5125 2.e-10 51.525 2.e-10 51.5375 2.e-10 51.55 2.e-10 51.5625 2.e-10 51.575 2.e-10 51.5875 2.e-10 51.6 2.e-10 51.6125 2.e-10 51.625 2.e-10 51.6375 2.e-10 51.65 2.e-10 51.6625 2.e-10 51.675 2.e-10 51.6875 1.e-10 51.7 1.e-10 51.7125 1.e-10 51.725 1.e-10 51.7375 1.e-10 51.75 1.e-10 51.7625 1.e-10 51.775 1.e-10 51.7875 1.e-10 51.8 1.e-10 51.8125 1.e-10 51.825 1.e-10 51.8375 1.e-10 51.85 1.e-10 51.8625 1.e-10 51.875 1.e-10 51.8875 1.e-10 51.9 1.e-10 51.9125 1.e-10 51.925 1.e-10 51.9375 1.e-10 51.95 1.e-10 51.9625 1.e-10 51.975 1.e-10 51.9875 1.e-10 52. 1.e-10 52.0125 0. #Figure 2 #Drawn analytically with Eq. (16) #Figure 3: polarized and unpolarized uniform gas data #We take different numbers of particles (N=n*L) and different box lengths (L) #to extrapolate to the continuum (numbers shown in Fig.~3) as E^unif+b/L+c/L^2 #as detailed in the text. #Unpolarized data #All data points taken with a grid density $n_g=Delta*n=0.04$ #n=0.01 #L,E 200 0.000003173736721 600 0.000002307551597 1000 0.000002141697706 1200 0.000002100677161 1600 0.000002049638316 #n=0.02 #L,E 100 0.000027278187314 300 0.000020936534977 500 0.000019657619639 600 0.000019337436715 800 0.000018937877333 #n=0.04 #L,E 50 0.000250728079160 150 0.000215331428780 250 0.000207337004956 300 0.000205296904765 400 0.000202700613261 #n=0.06 #L,E 200 0.000890361747503 400 0.000881005968027 800 0.000876151083270 1200 0.000874465674959 #n=0.10 #L,E 20 0.005215511172396 60 0.005570350834824 100 0.005629919724882 120 0.005643809509617 160 0.005661043602228 #n=0.12 #L,E 16.66666667 0.009410695586578 50 0.010313993594004 100 0.010516829632619 #n=0.15 #L,E 40 0.021059964672621 66.66666667 0.021471653148680 80 0.021572993195614 106.6666667 0.021698763011975 #n=0.18 #L,E 55.55555556 0.037113360073655 66.66666667 0.037308599821459 88.88888889 0.037551836693777 100 0.037632745270774 200 0.037955217988574 #n=0.20 #L,E 30 0.048956277856994 50 0.050085650627351 60 0.050368063867574 80 0.050721135125937 160 0.051251220873734 #n=0.22 #L,E 9.0909091 0.055823208299021 54.5455 0.065418327934664 72.7273 0.065916398674341 181.8181818 0.066819381615645 #n=0.25 #L,E 8 0.076906374446799 24 0.088488711580815 40 0.090972479707233 48 0.091607548679995 64 0.092410090009503 120 0.093550944496179 200 0.094079503157599 #n=0.30 #L,E 6.66666667 0.116913894638860 20 0.138556041151404 40 0.144666082908613 60 0.146815461012441 120 0.149027732998132 180 0.149779732612438 #n=0.40 #L,E 80 0.298095506782770 100 0.299543313659538 150 0.301492795071437 200 0.302475614290580 #n=0.50 #L,E 12 0.442086226828343 24 0.477633108325268 36 0.490455928908645 60 0.501103573724717 100 0.507665632957135 200 0.512675807002178 #n=0.60 #L,E 30 0.742419652144721 60 0.766437854675160 120 0.778888679131192 180 0.783107392387861 240 0.785229733847479 #n=0.70 #L,E 40 1.077575321287410 60 1.094681516849090 100 1.108659683679870 140 1.114731471964580 #n=0.80 #L,E 15 1.358626730252760 22.5 1.414273130788920 40 1.465728413569650 80 1.500262920477040 160 1.517981093073530 #n=0.90 #L,E 40 1.921429966401390 80 1.965941461881270 120 1.981112083979480 160 1.988762183575830 #n=1.00 #L,E 40 2.447304001057960 80 2.503046110849650 120 2.522030563387560 160 2.531600462683150 #n=1.10 #L,E 60 3.091179316257240 80 3.114158082550600 120 3.137379367461280 200 3.156133781978180 #Polarized #With $n_g=Delta*n=0.005$. #n=0.01 #L,E 200 0.000003173817498 400 0.000002518695992 800 0.000002203623179 1000 0.000002141753785 2000 0.000002019241665 3000 0.000001978779738 #n=0.02 #L,E 200 0.000022532480880 400 0.000020137809603 800 0.000018938295519 1000 0.000018698361544 2000 0.00001821852473 3000 0.00001805862417 #n=0.04 #L,E 200 0.000210391583515 400 0.000202713840006 800 0.000198763731436 1000 0.000197964657211 2000 0.0001963575179 3000 0.000195819742 #n=0.06 #L,E 20 0.000984301996763 40 0.000955932596485 80 0.000922386029565 100 0.000907509275622 200 0.0008905322429 500 0.000879265817 1000 0.000875322203 2000 0.0008733147024 #n=0.08 #L,E 200 0.002551260765666 400 0.002550973309606 800 0.002550579693427 1000 0.002550481020047 #n=0.10 #L,E 20 0.005221342941 40 0.005500678398717 80 0.005620929072535 100 0.005643202363864 200 0.005685858715939 500 0.005710202681 #n=0.15 #L,E 20 0.02018032901 40 0.021314251910558 80 0.021860812666528 100 0.021968343255417 200 0.022181543796451 #n=0.20 #L,E 20 0.04925024454 60 0.052335450495298 100 0.052944541670290 200 0.053399384739248 500 0.05367144537 1000 0.05376200397 #n=0.25 #L,E 20 0.09422751848 40 0.09810115487 80 0.1000397278 100 0.1004274783 200 0.1012029701 500 0.1016682431 1000 0.1018233451 #n=0.30 #L,E 20 0.1565393037 60 0.1643504792 100 0.1659258832 200 0.1671102026 300 0.1675055098 400 0.1677032589 500 0.1678219479 #n=0.40 #L,E 60 0.3543422793 100 0.3570877951 150 0.3584676941 200 0.3591598555 #n=0.50 #L,E 60 0.6317784751 100 0.6363654667 150 0.638672211 200 0.6398309453 #n=0.60 #L,E 60 1.007515267 100 1.014433477 150 1.01791277 200 1.019664403 #Figure 4 #Drawn analytically with Eqs. (16) and (23) #Fig. 5: H_2^+ energies #R,E_LDA,E_HF 0.1 -0.7449112236002089 -0.7780377608002089 0.2 -0.7454796658041855 -0.7785183068041855 0.3 -0.7445106628629036 -0.7774042019629036 0.4 -0.7420825795535432 -0.7747755901535432 0.5 -0.7382909217375115 -0.7707301285375117 0.6 -0.7332419485613463 -0.7653764479613462 0.7 -0.7270474793576132 -0.7588288363576132 0.8 -0.7198208460458031 -0.7512030957458031 0.9 -0.7116738678332221 -0.7426134450332221 1. -0.7027146879158792 -0.7331703079158791 1.1 -0.6930463121793708 -0.7229788200793708 1.2 -0.6827656968997606 -0.7121379000997607 1.3 -0.6719632567444567 -0.7007397512444566 1.4 -0.6607226824730832 -0.6888696811730832 1.5 -0.6491209824383514 -0.6766061505383515 1.6 -0.637228677286924 -0.664020978386924 1.7 -0.6251100967602772 -0.6511796525602771 1.8 -0.6128237391955594 -0.6381417028955595 1.9 -0.6004226640264467 -0.6249611080264468 2. -0.5879548974839928 -0.6116867150839926 2.1 -0.575463836597477 -0.598362656297477 2.2 -0.5629886417952492 -0.5850287539952492 2.3 -0.5505646126055698 -0.5717209052055697 2.4 -0.5382235413574463 -0.5584714443574463 2.5 -0.5259940444814687 -0.5453094801814687 2.6 -0.5139018692106366 -0.5322612073106366 2.7 -0.5019701763811888 -0.5193501914811887 2.8 -0.49021979973342467 -0.5065976305334247 2.9 -0.47866948171252444 -0.4940225907125245 3. -0.46733608666936577 -0.4816422210693657 3.1 -0.4562347921613352 -0.4694719458613352 3.2 -0.4453792585531401 -0.4575256374531401 3.3 -0.4347817768176122 -0.44581577071761214 3.4 -0.42445339583651154 -0.4343535600365116 3.5 -0.4144040286013265 -0.42314907980132654 3.6 -0.40464253731406796 -0.4122113709140679 3.7 -0.39517679878806344 -0.4015485315880636 3.8 -0.38601375204874644 -0.39116779684874636 3.9 -0.3771594294344409 -0.38107560413444097 4. -0.3686189779971468 -0.37127764839714683 4.1 -0.3603966793033161 -0.36177892570331616 4.2 -0.3524959818346325 -0.3525837672346325 4.3 -0.3449195654887819 -0.34369586398878194 4.4 -0.3376694627802229 -0.3351182823802229 4.5 -0.3307472650409541 -0.32685347314095414 4.6 -0.32415443702127655 -0.31890327342127656 4.7 -0.31789274779055354 -0.3112689025905535 4.8 -0.31196479913796904 -0.303950955137969 4.9 -0.30637457587328 -0.29694938967328 5. -0.3011278556275675 -0.2902635171275675 5.1 -0.29623217095398435 -0.28389198845398445 5.2 -0.2916958719284998 -0.2778327844284998 5.3 -0.2875259333506397 -0.27208320895063975 5.4 -0.2837248656442257 -0.26663988644422565 5.5 -0.2802881689581098 -0.2614987655581098 5.6 -0.2772038400669067 -0.25665513016690666 5.7 -0.27445397627172186 -0.2521036180717219 5.8 -0.272017237100879 -0.24783824800087895 5.9 -0.26987102761064063 -0.2438524553106406 6. -0.2679929883859301 -0.24013913558593014 6.1 -0.26636184774104754 -0.23669069534104747 6.2 -0.2649578290203827 -0.2334991100203826 6.3 -0.2637627873991274 -0.2305559859991274 6.4 -0.2627601939839822 -0.22785262708398224 6.5 -0.26193504431386216 -0.22538010191386215 6.6 -0.26127373286059774 -0.2231293132605977 6.7 -0.2607639192296346 -0.22109106432963466 6.8 -0.26039439756072935 -0.21925612406072936 6.9 -0.26015497472864313 -0.21761528752864312 7. -0.2600363613438309 -0.21615943234383095 #Fig. 6: H_2 energies #R,E_RHF,E_UHF,E_RLDA,E_ULDA,DMRG 0.1 -1.4911695179002091 -1.4911695179002091 -1.518593147000209 -1.5185931445002088 -1.5316062846002088 -1.5316062846002088 0.2 -1.4902120015041858 -1.4902120015041858 -1.5173471722041856 -1.5173471700041854 -1.5305251906041857 -1.5305251906041857 0.3 -1.4867458680629038 -1.4867458680629038 -1.5134042551629037 -1.513404253062904 -1.5268535598629036 -1.5268535598629036 0.4 -1.4809094961535432 -1.4809094961535432 -1.5069076270535433 -1.5069076247535431 -1.5207327559535435 -1.5207327559535435 0.5 -1.4728718097375115 -1.4728718097375115 -1.4980319584375115 -1.4980319561375117 -1.5123365034375118 -1.5123365034375118 0.6 -1.4628210400613462 -1.4628210400613462 -1.4869717001613463 -1.486971697661346 -1.5018593511613463 -1.5018593511613463 0.7 -1.450955553757613 -1.450955553757613 -1.4739315884576132 -1.473931585557613 -1.4895072223576133 -1.4895072223576133 0.8 -1.4374766742458032 -1.4374766742458032 -1.459119231345803 -1.4591192285458032 -1.4754899981458032 -1.4754899981458032 0.9 -1.4225832838332222 -1.4225832838332222 -1.4427395509332221 -1.4427395476332223 -1.4600159281332221 -1.4600159281332221 1. -1.4064679355158793 -1.4064679354158793 -1.424990796815879 -1.4249907934158792 -1.443287597215879 -1.443287597215879 1.1 -1.3893141919793708 -1.3893141919793708 -1.406061837079371 -1.4060618325793706 -1.4254991617793706 -1.4254991617793706 1.2 -1.3712949308997606 -1.3712949308997606 -1.3861304514997608 -1.3861304463997608 -1.4068345865997607 -1.4068345865997607 1.3 -1.3525713861444566 -1.3525713861444566 -1.3653623910444566 -1.3653623856444566 -1.3874666434444567 -1.3874666434444567 1.4 -1.333292736873083 -1.333292736873083 -1.3439110032730832 -1.3439109969730831 -1.367556472573083 -1.367556472573083 1.5 -1.3135960900383514 -1.3135960900383514 -1.3219172649383513 -1.3219172567383515 -1.3472535442383515 -1.3472535442383515 1.6 -1.293606737586924 -1.293606737586924 -1.299510095786924 -1.299510085586924 -1.326695890586924 -1.326695890586924 1.7 -1.2734385951602771 -1.2734385951602771 -1.276806858860277 -1.276806845660277 -1.306010508460277 -1.306010508460277 1.8 -1.2531947558955596 -1.2531947558955596 -1.2539139735955596 -1.2539139542955593 -1.2853138552955596 -1.2853138552955596 1.9 -1.2329681066264466 -1.2329681066264466 -1.2309275916264466 -1.2309275585264468 -1.2647123812264467 -1.2647123812264467 2. -1.2128419725839927 -1.2128419725839927 -1.2079342951839926 -1.2079341918839928 -1.2443030544839926 -1.2443030544839926 2.1 -1.192890762997477 -1.192890762997477 -1.1850117924974768 -1.185162181497477 -1.2241738503974768 -1.2241738503974768 2.2 -1.1731806029952492 -1.1731806029952492 -1.1622295935952491 -1.1635840171952492 -1.2044041833952492 -1.2044041833952492 2.3 -1.1537699377055697 -1.1537699377055697 -1.1396496545055697 -1.1433241634055697 -1.1850652701055697 -1.1850652701055697 2.4 -1.1347101026574464 -1.1347101026574464 -1.1173269832574464 -1.1243292264574465 -1.1662204202574464 -1.1662204202574464 2.5 -1.1160458558814685 -1.1160458558814685 -1.0953102045814687 -1.1065391843814685 -1.1479252558814688 -1.1479252558814688 2.6 -1.0978158689106365 -1.0978158689106365 -1.0736420837106366 -1.0898902590106365 -1.1302278702106365 -1.1302278702106365 2.7 -1.0800531745811888 -1.0800531744811888 -1.0523600085811888 -1.0743171449811888 -1.1131689390811887 -1.1131689390811887 2.8 -1.0627855715334245 -1.0627855715334245 -1.0314964333334244 -1.0597546927334247 -1.0967818071334245 -1.0967818071334245 2.9 -1.0460359859125243 -1.0460359859125243 -1.0110792857125244 -1.0461391580125246 -1.0810925718125244 -1.0810925718125244 3. -1.0298227886693656 -1.0298227886693656 -0.9911323411693657 -1.0334090777693659 -1.0661201934693656 -1.0661201934693656 3.1 -1.0141600712613352 -1.0141600712613352 -0.9716755661613352 -1.0215058653613354 -1.0518766574613352 -1.0518766574613352 3.2 -0.9990578820531401 -0.99905788195314 -0.9527254348531401 -1.0103741713531402 -1.03836721305314 -1.03836721305314 3.3 -0.9845224272176122 -0.9845224271176122 -0.9342952206176122 -0.9999620728176121 -1.0255907073176123 -1.0255907073176123 3.4 -0.9705562453365115 -0.9705562452365115 -0.9163952660365116 -0.9902211330365116 -1.0135400225365117 -1.0135400225365117 3.5 -0.9571583655013266 -0.9571583655013266 -0.8990332330013265 -0.9811063594013266 -1.0022026179013266 -1.0022026179013266 3.6 -0.9443244667140679 -0.9442251622140679 -0.882214335514068 -0.972576098514068 -0.991561164614068 -0.991561164614068 3.7 -0.9320470563880634 -0.9348709490880636 -0.8659415565880635 -0.9645918803880635 -0.9815942521880634 -0.9815942521880634 3.8 -0.9203156916487465 -0.9262362385487464 -0.8502158505487465 -0.9571182391487465 -0.9722771401487464 -0.9722771401487464 3.9 -0.9091172613344409 -0.918181630534441 -0.835036333334441 -0.9501225105344411 -0.9635825242344409 -0.9635825242344409 4. -0.8984363420971468 -0.9106216823971469 -0.8204004595971468 -0.9435746289971467 -0.9554812840971467 -0.9554812840971467 4.1 -0.8882556275033161 -0.903496582903316 -0.8063041894033162 -0.9374469227033161 -0.9479431861033162 -0.9479431861033162 4.2 -0.8785564160346325 -0.8967620626346325 -0.7927421446346324 -0.9317139133346325 -0.9409375175346325 -0.9409375175346325 4.3 -0.8693191292887819 -0.8903844590887819 -0.7797077552887819 -0.9263521272887818 -0.9344336402887818 -0.9344336402887818 4.4 -0.8605238248802228 -0.8843378541802228 -0.7671933967802228 -0.9213399164802228 -0.9284014480802228 -0.9284014480802228 4.5 -0.8521506659409541 -0.8786022343409541 -0.7551905180409542 -0.9166572913409541 -0.9228117316409541 -0.9228117316409541 4.6 -0.8441803243212765 -0.8731622307212766 -0.7436897613212766 -0.9122857681212765 -0.9176364605212765 -0.9176364605212765 4.7 -0.8365942974905536 -0.8680062197905536 -0.7326810733905535 -0.9082082272905536 -0.9128489723905535 -0.9128489723905535 4.8 -0.829375139037969 -0.863125662337969 -0.722153809737969 -0.904408786437969 -0.9084240961379692 -0.9084240961379692 4.9 -0.8225066100732801 -0.8585145940732799 -0.7120968297732799 -0.9008726837732799 -0.90433822357328 -0.90433822357328 5. -0.8159737638275675 -0.8541692056275676 -0.7024985859275674 -0.8975861738275674 -0.9005693066275675 -0.9005693066275675 5.1 -0.8097629821539843 -0.8500874440539844 -0.6933472052539843 -0.8945364333539844 -0.8970968507539844 -0.8970968507539844 5.2 -0.8038619740284999 -0.8462685640284998 -0.6846305637284998 -0.8917114771284999 -0.8939018523284997 -0.8939018523284997 5.3 -0.7982597551506397 -0.8427125490506396 -0.6763363548506397 -0.8891000820506397 -0.8909667394506396 -0.8909667394506396 5.4 -0.7929466127442256 -0.8394193394442256 -0.6684521520442256 -0.8866917199442258 -0.8882752695442256 -0.8882752695442256 5.5 -0.7879140676581099 -0.8363878763581097 -0.6609654643581099 -0.8844764974581097 -0.8858124559581099 -0.8858124559581099 5.6 -0.7831548303669066 -0.8336151080669066 -0.6538637877669068 -0.8824451017669067 -0.8835644711669067 -0.8835644711669067 5.7 -0.7786627584717218 -0.8310952487717218 -0.6471346502717219 -0.880588752771722 -0.8815185492717219 -0.8815185492717219 5.8 -0.7744328036008791 -0.8288195769008789 -0.6407656530008791 -0.878899160200879 -0.8796628963008789 -0.8796628963008789 5.9 -0.7704609422106407 -0.8267768485106407 -0.6347445056106406 -0.8773684853106406 -0.8779865953106406 -0.8779865953106406 6. -0.7667440711859302 -0.8249541228859302 -0.6290590589859301 -0.8759893062859302 -0.8764795585859301 -0.8764795585859301 6.1 -0.7632798438410474 -0.8233376788410475 -0.6236973322410476 -0.8747545879410475 -0.8751324003410476 -0.8751324003410476 6.2 -0.7600664182203827 -0.8219137782203827 -0.6186475372203826 -0.8736576537203826 -0.8739364436203827 -0.8739364436203827 6.3 -0.7571020874991274 -0.8206691858991273 -0.6138980993991274 -0.8726921610991274 -0.8728836038991274 -0.8728836038991274 6.4 -0.7543847902839822 -0.8195914625839822 -0.6094376751839823 -0.8718520791839823 -0.8719662980839822 -0.8719662980839822 6.5 -0.7519115421138621 -0.8186690925138621 -0.6052551675138621 -0.8711316684138622 -0.8711775007138621 -0.8711775007138621 6.6 -0.7496778965605978 -0.8178915058605977 -0.6013397370605976 -0.8705254624605977 -0.8705105862605976 -0.8705105862605976 6.7 -0.7476775799296347 -0.8172490426296346 -0.5976808130296347 -0.8700282513296347 -0.8699593800296346 -0.8699593800296346 6.8 -0.7459024213607294 -0.8167328863607294 -0.5942681005607294 -0.8696350664607294 -0.8695180736607294 -0.8695180736607294 6.9 -0.7443425914286431 -0.8163349874286431 -0.5910915864286431 -0.8693411664286431 -0.8691811146286431 -0.8691811146286431 7. -0.7429870594438308 -0.816047986043831 -0.5881415438438309 -0.8691420253438309 -0.8689435432438308 -0.8689435432438308 #Table 4: H_2 fine grid energies #R,E_H2+(HF) 2.46 -1.1882723378 2.47 -1.1866914364 2.48 -1.1851116984 2.49 -1.1835331493 2.5 -1.1819558145 2.51 -1.1803797187 2.52 -1.1788048869 2.5300000000000002 -1.1772313434 2.54 -1.1756591124 2.55 -1.1740882178 2.56 -1.1725186834 2.5700000000000003 -1.1709505325 2.58 -1.1693837884 2.59 -1.1678184739 2.6 -1.1662546119 2.61 -1.1646922247 2.62 -1.1631313346 2.63 -1.1615719636 2.64 -1.1600141334 2.65 -1.1584578656 2.66 -1.1569031814 2.67 -1.155350102 2.68 -1.1537986482 2.69 -1.1522488406 2.7 -1.1507006997 #R,E_H2+(LDA) 2.46 -1.1685559224 2.47 -1.167066626 2.48 -1.1655789114 2.49 -1.1640924928 2.5 -1.1626075505 2.51 -1.1611241093 2.52 -1.159642194 2.5300000000000002 -1.158161667 2.54 -1.1566828751 2.55 -1.1552056816 2.56 -1.15373011 2.5700000000000003 -1.1522561837 2.58 -1.1507839259 2.59 -1.1493133595 2.6 -1.1478445072 2.61 -1.1463773913 2.62 -1.144912034 2.63 -1.1434484574 2.64 -1.141986683 2.65 -1.1405267325 2.66 -1.139068627 2.67 -1.1376123876 2.68 -1.1361580351 2.69 -1.1347055901 2.7 -1.1332550729 #R,E_H2(HF) 1.46 -1.9953684837 1.47 -1.9928866055 1.48 -1.9904003133 1.49 -1.9879097312 1.5 -1.9854149859 1.51 -1.9829162001 1.52 -1.9804134952 1.53 -1.9779069945 1.54 -1.9753968171 1.55 -1.9728830821 1.56 -1.9703659074 1.57 -1.9678454098 1.58 -1.9653217049 1.5899999999999999 -1.9627949072 1.6 -1.9602651312 1.6099999999999999 -1.9577324873 1.62 -1.9551970886 1.63 -1.9526590434 1.6400000000000001 -1.9501184627 1.65 -1.9475754535 1.6600000000000001 -1.9450301228 1.67 -1.9424825765 1.6800000000000002 -1.9399329193 1.69 -1.9373812562 1.7000000000000002 -1.9348276877 #R,E_H2(LDA) 1.46 -1.9853130511 1.47 -1.9830367171 1.48 -1.9807565951 1.49 -1.9784727928 1.5 -1.9761854167 1.51 -1.9738945717 1.52 -1.9716003612 1.53 -1.9693028871 1.54 -1.9670022497 1.55 -1.9646985479 1.56 -1.9623918791 1.57 -1.9600823392 1.58 -1.9577700224 1.5899999999999999 -1.9554550217 1.6 -1.9531374284 1.6099999999999999 -1.9508173322 1.62 -1.9484948216 1.63 -1.9461699833 1.6400000000000001 -1.9438429026 1.65 -1.9415136633 1.6600000000000001 -1.9391823477 1.67 -1.9368490368 1.6800000000000002 -1.9345138097 1.69 -1.9321767443 1.7000000000000002 -1.929837917 #Fig. 7: He binding energies #R,E_sC,E_exp 0.10000000000000009 0.4502228960164061 0.5191128742858582 0.5 0.31788681507450844 0.32066375316137075 0.8999999999999999 0.18688632092293878 0.19207071411964272 1.2999999999999998 0.10033710418358188 0.11237215690737345 1.7000000000000002 0.053268454777444685 0.06460393644931228 2.1 0.02961346296284706 0.03656391700913009 2.5 0.017736922004051525 0.02027766744058157 2.9000000000000004 0.011449032282175864 0.010925114333141472 3.3 0.00783212178488002 0.005689609718029676 3.7 0.0056122012730130955 0.0028947575990936336 4.1 0.004132262381514096 0.001508731429643806 4.5 0.0031170133976874403 0.0008928693017256073 4.9 0.0023898022366588556 0.000664881035550291 5.3 0.0018576963432774818 0.0006095834738939487 5.7 0.001473411659295376 0.0006155225716875101 6.1 0.001149243055408089 0.0006311218194987589 6.5 0.0009370808277000542 0.0006367048959741162 6.9 0.0008244334282845323 0.0006277864968438074 7.300000000000001 0.0006685584501062714 0.0006060503313531918 7.699999999999999 0.0005761364630454402 0.0005754017499062236 8.1 0.0005515144950698492 0.0005394878692426275 8.5 0.0004725984515352444 0.0005014789532533648 8.9 0.00045487653027453945 0.00046340109119968886 9.3 0.0004142570745551133 0.0004268297070586513 9.7 0.00039628247894318847 0.0003927692234451108 #Inset: x,n(x) [Exp], v(x) [Exp], n(x) [soft-Coulomb], n(x) [soft-Coulomb] -60.02 0. -1.8e-9 0. -0.0685727854 -59.980000000000004 0. -1.8e-9 0. -0.068633252 -59.940000000000005 0. -1.8e-9 0. -0.068693828 -59.900000000000006 0. -1.9e-9 0. -0.0687545138 -59.86000000000001 0. -1.9e-9 0. -0.0688153097 -59.82 0. -1.9e-9 0. -0.0688762159 -59.78 0. -2.e-9 0. -0.0689372329 -59.74 0. -2.e-9 0. -0.0689983608 -59.7 0. -2.e-9 0. -0.0690596001 -59.660000000000004 0. -2.1e-9 0. -0.069120951 -59.620000000000005 0. -2.1e-9 0. -0.0691824139 -59.580000000000005 0. -2.1e-9 0. -0.0692439889 -59.540000000000006 0. -2.2e-9 0. -0.0693056766 -59.5 0. -2.2e-9 0. -0.0693674771 -59.46 0. -2.3e-9 0. -0.0694293909 -59.42 0. -2.3e-9 0. -0.0694914181 -59.38 0. -2.3e-9 0. -0.0695535592 -59.34 0. -2.4e-9 0. -0.0696158145 -59.300000000000004 0. -2.4e-9 0. -0.0696781842 -59.260000000000005 0. -2.4e-9 0. -0.0697406688 -59.220000000000006 0. -2.5e-9 0. -0.0698032684 -59.18 0. -2.5e-9 0. -0.0698659836 -59.14 0. -2.6e-9 0. -0.0699288145 -59.1 0. -2.6e-9 0. -0.0699917615 -59.06 0. -2.7e-9 0. -0.0700548249 -59.02 0. -2.7e-9 0. -0.0701180052 -58.980000000000004 0. -2.8e-9 0. -0.0701813025 -58.940000000000005 0. -2.8e-9 0. -0.0702447173 -58.900000000000006 0. -2.8e-9 0. -0.0703082498 -58.86000000000001 0. -2.9e-9 0. -0.0703719004 -58.82 0. -2.9e-9 0. -0.0704356695 -58.78 0. -3.e-9 0. -0.0704995574 -58.74 0. -3.e-9 0. -0.0705635644 -58.7 0. -3.1e-9 0. -0.0706276909 -58.660000000000004 0. -3.1e-9 0. -0.0706919371 -58.620000000000005 0. -3.2e-9 0. -0.0707563035 -58.580000000000005 0. -3.3e-9 0. -0.0708207904 -58.540000000000006 0. -3.3e-9 0. -0.0708853982 -58.5 0. -3.4e-9 0. -0.0709501271 -58.46 0. -3.4e-9 0. -0.0710149776 -58.42 0. -3.5e-9 0. -0.07107995 -58.38 0. -3.5e-9 0. -0.0711450446 -58.34 0. -3.6e-9 0. -0.0712102618 -58.300000000000004 0. -3.7e-9 0. -0.071275602 -58.260000000000005 0. -3.7e-9 0. -0.0713410655 -58.220000000000006 0. -3.8e-9 0. -0.0714066526 -58.18000000000001 0. -3.9e-9 0. -0.0714723638 -58.14 0. -3.9e-9 0. -0.0715381993 -58.1 0. -4.e-9 0. -0.0716041596 -58.06 0. -4.e-9 0. -0.071670245 -58.02 0. -4.1e-9 0. -0.0717364559 -57.980000000000004 0. -4.2e-9 0. -0.0718027926 -57.940000000000005 0. -4.3e-9 0. -0.0718692556 -57.900000000000006 0. -4.3e-9 0. -0.0719358451 -57.86 0. -4.4e-9 0. -0.0720025615 -57.82 0. -4.5e-9 0. -0.0720694053 -57.78 0. -4.6e-9 0. -0.0721363768 -57.74 0. -4.6e-9 0. -0.0722034764 -57.7 0. -4.7e-9 0. -0.0722707043 -57.660000000000004 0. -4.8e-9 0. -0.0723380612 -57.620000000000005 0. -4.9e-9 0. -0.0724055472 -57.580000000000005 0. -5.e-9 0. -0.0724731628 -57.540000000000006 0. -5.e-9 0. -0.0725409084 -57.5 0. -5.1e-9 0. -0.0726087843 -57.46 0. -5.2e-9 0. -0.072676791 -57.42 0. -5.3e-9 0. -0.0727449287 -57.38 0. -5.4e-9 0. -0.0728131981 -57.34 0. -5.5e-9 0. -0.0728815993 -57.300000000000004 0. -5.6e-9 0. -0.0729501328 -57.260000000000005 0. -5.7e-9 0. -0.073018799 -57.220000000000006 0. -5.8e-9 0. -0.0730875982 -57.18000000000001 0. -5.9e-9 0. -0.073156531 -57.14 0. -6.e-9 0. -0.0732255977 -57.1 0. -6.1e-9 0. -0.0732947986 -57.06 0. -6.2e-9 0. -0.0733641342 -57.02 0. -6.3e-9 0. -0.0734336049 -56.980000000000004 0. -6.4e-9 0. -0.0735032111 -56.940000000000005 0. -6.5e-9 0. -0.0735729532 -56.900000000000006 0. -6.6e-9 0. -0.0736428316 -56.86 0. -6.7e-9 0. -0.0737128467 -56.82 0. -6.8e-9 0. -0.0737829989 -56.78 0. -6.9e-9 0. -0.0738532887 -56.74 0. -7.e-9 0. -0.0739237164 -56.7 0. -7.2e-9 0. -0.0739942825 -56.660000000000004 0. -7.3e-9 0. -0.0740649874 -56.620000000000005 0. -7.4e-9 0. -0.0741358315 -56.580000000000005 0. -7.5e-9 0. -0.0742068153 -56.540000000000006 0. -7.7e-9 0. -0.0742779391 -56.5 0. -7.8e-9 0. -0.0743492034 -56.46 0. -7.9e-9 0. -0.0744206085 -56.42 0. -8.1e-9 0. -0.0744921551 -56.38 0. -8.2e-9 0. -0.0745638434 -56.34 0. -8.3e-9 0. -0.0746356739 -56.300000000000004 0. -8.5e-9 0. -0.074707647 -56.260000000000005 0. -8.6e-9 0. -0.0747797632 -56.220000000000006 0. -8.8e-9 0. -0.0748520229 -56.18000000000001 0. -8.9e-9 0. -0.0749244266 -56.14 0. -9.1e-9 0. -0.0749969747 -56.1 0. -9.2e-9 0. -0.0750696675 -56.06 0. -9.4e-9 0. -0.0751425057 -56.02 0. -9.5e-9 0. -0.0752154896 -55.980000000000004 0. -9.7e-9 0. -0.0752886197 -55.940000000000005 0. -9.8e-9 0. -0.0753618964 -55.900000000000006 0. -1.e-8 0. -0.0754353202 -55.86 0. -1.02e-8 0. -0.0755088915 -55.82 0. -1.04e-8 0. -0.0755826108 -55.78 0. -1.05e-8 0. -0.0756564785 -55.74 0. -1.07e-8 0. -0.0757304952 -55.7 0. -1.09e-8 0. -0.0758046612 -55.660000000000004 0. -1.11e-8 0. -0.0758789771 -55.620000000000005 0. -1.13e-8 0. -0.0759534433 -55.580000000000005 0. -1.15e-8 0. -0.0760280603 -55.540000000000006 0. -1.16e-8 0. -0.0761028284 -55.5 0. -1.18e-8 0. -0.0761777483 -55.46 0. -1.2e-8 0. -0.0762528204 -55.42 0. -1.22e-8 0. -0.0763280452 -55.38 0. -1.25e-8 0. -0.0764034231 -55.34 0. -1.27e-8 0. -0.0764789546 -55.300000000000004 0. -1.29e-8 0. -0.0765546403 -55.260000000000005 0. -1.31e-8 0. -0.0766304805 -55.220000000000006 0. -1.33e-8 0. -0.0767064758 -55.18000000000001 0. -1.35e-8 0. -0.0767826266 -55.14 0. -1.38e-8 0. -0.0768589336 -55.1 0. -1.4e-8 0. -0.076935397 -55.06 0. -1.42e-8 0. -0.0770120175 -55.02 0. -1.45e-8 0. -0.0770887956 -54.980000000000004 0. -1.47e-8 0. -0.0771657317 -54.940000000000005 0. -1.5e-8 0. -0.0772428263 -54.900000000000006 0. -1.52e-8 0. -0.07732008 -54.86 0. -1.55e-8 0. -0.0773974933 -54.82 0. -1.57e-8 0. -0.0774750666 -54.78 0. -1.6e-8 0. -0.0775528004 -54.74 0. -1.63e-8 0. -0.0776306954 -54.7 0. -1.66e-8 0. -0.0777087519 -54.660000000000004 0. -1.68e-8 0. 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35.37999999999999 0. -0.0000536209 0. -0.0694914181 35.419999999999995 0. -0.0000527292 0. -0.0694293909 35.45999999999999 0. -0.0000518523 0. -0.0693674771 35.49999999999999 0. -0.0000509901 0. -0.0693056766 35.539999999999985 0. -0.0000501422 0. -0.0692439889 35.57999999999999 0. -0.0000493083 0. -0.0691824139 35.62 0. -0.0000484884 0. -0.069120951 35.65999999999999 0. -0.000047682 0. -0.0690596001 35.699999999999996 0. -0.0000468891 0. -0.0689983608 35.73999999999999 0. -0.0000461094 0. -0.0689372329 35.779999999999994 0. -0.0000453426 0. -0.0688762159 35.819999999999986 0. -0.0000445886 0. -0.0688153097 35.85999999999999 0. -0.0000438471 0. -0.0687545138 35.899999999999984 0. -0.000043118 0. -0.068693828 35.93999999999999 0. -0.000042401 0. -0.068633252 35.98 0. -0.0000416959 0. -0.0685727854 #Fig. 8: x,n(x) [Exp], v(x) [Exp], n(x) [soft-Coulomb], n(x) [soft-Coulomb] -61.02 0. -1.8e-9 0. -0.0677791053 -60.980000000000004 0. -1.8e-9 0. -0.0678384525 -60.940000000000005 0. -1.8e-9 0. 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-0.0683171112 36.259999999999984 0. -0.0000563801 0. -0.0682568988 36.29999999999999 0. -0.0000554425 0. -0.0681967955 36.339999999999996 0. -0.0000545206 0. -0.0681368012 36.37999999999999 0. -0.0000536139 0. -0.0680769155 36.419999999999995 0. -0.0000527224 0. -0.068017138 36.45999999999999 0. -0.0000518456 0. -0.0679574686 36.49999999999999 0. -0.0000509835 0. -0.0678979069 36.539999999999985 0. -0.0000501357 0. -0.0678384525 36.57999999999999 0. -0.0000493019 0. -0.0677791053 #Fig. 9: R, soft-Coulomb, exponential 2. 18.4875 4.2 2.5 20.0625 4.675 3. 23.675 5. 3.5 29.825 5.1875 4. 28.6 5.625 4.5 29.5125 5.875 5. 31.7625 6.35 5.5 34.1125 6.3625 6. 38.7875 6.825 6.5 42.6375 6.825 7. 46.025 7.575 7.5 50.2625 7.3 8. 52.075 7.875 8.5 53.9625 7.95 9. 58.175 8.8 9.5 64.8875 9.2125 10. 65.7625 9.3 10.5 68.55 9.025 11. 76.6 9.8875 11.5 83.7875 9.45 12. 91.8375 9.9375 12.5 97.95 9.2375 13. 100.55 9.7875 13.5 107.1125 9.5625 14. 114.95 10.0125 14.5 116.4125 9.75 15. 131.2625 9.6875 15.5 131.7 10.1875 16. 143.8125 10.6375 16.5 155.6375 11.2625 17. 169.9125 10.7 17.5 178.1875 10.85 18. 171.025 11.0375 18.5 180.925 11.2625 19. 195.1375 11.4875 19.5 228.55 12.075 20. 218.675 11.675 20.5 230.4625 11.8375 21. 245.275 12.3625 21.5 281.3 12.575 22. 310.2625 13.15 22.5 282.15 12.8625 23. 281.475 13.7375 23.5 281.1 13.3125 24. 302.3875 12.9375 24.5 314.975 13.025 25. 331.5 13.775